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- [43] Local critical analysis of inequalities related to the sum of distances between n points on the unit hemisphere for n=4,5\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n=4,5$$\end{document}Annals of Mathematics and Artificial Intelligence, 2023, 91 (6) : 865 - 898Yaochen XuZhenbing ZengJian LuYuzheng WangLiangyu Chen
- [44] A Geometrical Visualisation of x1+x<ln(1+x)<x−x22(1+x)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\frac{x}{1+x} < {ln}(1+x) < {x}-\frac{x^2}{2(1+x)}$$\end{document} for x > 0Resonance, 2018, 23 (5) : 597 - 600Sagar Chakraborty